Geodesic
$\mathcal E$-closed groups and modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 2, pp. 97-106.

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The paper discusses Abelian groups (modules) isomorphic to their endomorphism groups (modules). A necessary and sufficient condition is given according to which the commutativity of the endomorphism ring of a group $G$ follows from the isomorphism $G\cong\operatorname{End}G$. 
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A. V. Grishin; A. V. Tsarev. $\mathcal E$-closed groups and modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 2, pp. 97-106. http://geodesic.mathdoc.fr/item/FPM_2012_17_2_a3/

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